Answer :
The given inequality is
[tex]2-x>8[/tex]We subtract 2 from each side.
[tex]\begin{gathered} 2-2-x>8-2 \\ -x>6 \end{gathered}[/tex]Then, we multiply the inequality by -1.
[tex]\begin{gathered} -x\cdot-1<6\cdot-1 \\ x<-6 \end{gathered}[/tex]